“…As can be seen, the full-vectorial simulations (solid) fit well with the experimental results, while the conversion efficiency predicted by the scalar-approach simulations (dashed) are about 3 dB higher. Such a comparison validates the accuracy of the proposed full-vectorial model, in addition to strengthening the results presented in the previous study 34 .Figure 3Full-vectorial numerical simulations (solid), Scalar-approach numerical simulations (dashed) and experimental measurements of the conversion efficiency at ( a ) HI (green triangles), LI (red circles), ( b ) DI (blue diamond), DL (green triangles) and DH (red circles). The incident power of pumps (1545 nm and 1565 nm) and signal are 10 dBm and −10 dBm, respectively.…”
Section: Resultssupporting
confidence: 85%
“…By substituting Eq. (1) into Maxwell’s equations, the propagation equation of the field amplitude at ω n becomes 32–34 where ∂ z denotes the differentiation of z . Assuming that the electronic response is instantaneous, the Kerr-induced nonlinear polarization can be expanded with different frequency components,…”
We derive full-vectorial nonlinear propagation equations of dual-pumped four-wave mixing in straight waveguides, which are valid in characterizing the one-to-six wavelength multicasting. Special attention is paid to the resulting idler wavelengths and their conversion efficiency, which enables the optimization of the experimental designs, including the incident wavelength and the power of pumps and signal. We validate the model by comparing the numerical simulation to the experimental measurement in a silicon-on-insulator waveguide, for the first time to our best knowledge, and achieve a good agreement. We further derive the general form of the proposed model for the case of using multiple,pumps, which holds a potential to numerically predict the performance of complex wavelength multicasting, and essentially guide the waveguide designs.
“…As can be seen, the full-vectorial simulations (solid) fit well with the experimental results, while the conversion efficiency predicted by the scalar-approach simulations (dashed) are about 3 dB higher. Such a comparison validates the accuracy of the proposed full-vectorial model, in addition to strengthening the results presented in the previous study 34 .Figure 3Full-vectorial numerical simulations (solid), Scalar-approach numerical simulations (dashed) and experimental measurements of the conversion efficiency at ( a ) HI (green triangles), LI (red circles), ( b ) DI (blue diamond), DL (green triangles) and DH (red circles). The incident power of pumps (1545 nm and 1565 nm) and signal are 10 dBm and −10 dBm, respectively.…”
Section: Resultssupporting
confidence: 85%
“…By substituting Eq. (1) into Maxwell’s equations, the propagation equation of the field amplitude at ω n becomes 32–34 where ∂ z denotes the differentiation of z . Assuming that the electronic response is instantaneous, the Kerr-induced nonlinear polarization can be expanded with different frequency components,…”
We derive full-vectorial nonlinear propagation equations of dual-pumped four-wave mixing in straight waveguides, which are valid in characterizing the one-to-six wavelength multicasting. Special attention is paid to the resulting idler wavelengths and their conversion efficiency, which enables the optimization of the experimental designs, including the incident wavelength and the power of pumps and signal. We validate the model by comparing the numerical simulation to the experimental measurement in a silicon-on-insulator waveguide, for the first time to our best knowledge, and achieve a good agreement. We further derive the general form of the proposed model for the case of using multiple,pumps, which holds a potential to numerically predict the performance of complex wavelength multicasting, and essentially guide the waveguide designs.
“…Therefore, given that silicon waveguides provide a broad SpFWM bandwidth (36 nm in our case calculated through the method in Ref. [32]), it is inferred that the performance should be even better for the photon pairs of wider wavelength separation.…”
We experimentally demonstrate a photon-pair source, based on continuous-wave pumped spontaneous four-wave mixing in a silicon microring resonator, which efficiently generates photon pairs with high coincidence counts, high brightness, and high coincidence-to-accidental ratio at multiple resonance wavelengths matching a standard International Telecommunication Union (ITU) frequency grid. The signal-idler joint spectral intensity is measured with a very high resolution of 2 pm over multiple wavelengths by an optical spectrum analyzer through probe-swept stimulated four-wave mixing, allowing an accurate quantification of the spectral correlation. Strong spectral correlation and uniform degree of quantum correlation are observed from the source, and the measured amount of spectral modes agrees well with that obtained by unheralded second-order correlation measurements.
“…6 green diamond). We also simulated η versus signal wavelength based on the model in [37]. The in-waveguide power levels of the pump and the signal were set to 15 dBm and 0 dBm, respectively, in agreement with our experiments.…”
Section: Pumpmentioning
confidence: 80%
“…The in-waveguide power levels of the pump and the signal were set to 15 dBm and 0 dBm, respectively, in agreement with our experiments. The length of the waveguide was 1 cm, the linear loss was 3 dB/cm, the free carrier lifetime τ was 10 ns, other parameters were from [37]. Two extreme cases were considered during the simulation: the blue solid in Fig.…”
Abstract:We propose a silicon waveguide structure employing silica-filled vertical-dual slots for broadband wavelength conversion, which can be fabricated using simple silicon-on-insulator technology. We demonstrate group-velocity dispersion tailoring by varying the width of the core, the slots and the side strips, and put forward a method to achieve spectrally-flattened near-zero anomalous group-velocity dispersion at telecom wavelengths. A proposed structure provides a group-velocity dispersion parameter β 2 of −60 ps 2 /km with an effective mode area A eff of 0.075 µm 2 at 1550 nm. This structure is predicted to significantly broaden the bandwidth of wavelength conversion via four-wave mixing, which is validated with experimentally measured 3 dB bandwidth of 76 nm.
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